AP EAMCET · Maths · Functions
If \(f\) is a relation from set of positive real number to the set of positive real numbers defined by \(f(x)=3 x^2-2\), then \(f\) is
- A one-one but not onto
- B onto but not one-one
- C a bijection
- D not a function
Answer & Solution
Correct Answer
(D) not a function
Step-by-step Solution
Detailed explanation
(w) \(f: R_{+} \rightarrow R_{+}\) \[ f(x)=3 x^2-2 \] As \[ \begin{aligned} & x \in(0, \infty) \\ & 3 x^2-2 \in(-2, \infty) \end{aligned} \] But co-domain of \(f\) is \(R_{+}\). Hence, \(f\) is not a function.
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